September 26th Flashcardziz Triangle Similarity Postulates

Front

What is the Triangle Similarity Postulate that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar?

Back

AA (Angle-Angle) Similarity Postulate.

Front

What does the SAS similarity criterion state?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) Similarity Postulate?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How can you determine if two triangles are similar using the AA postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the significance of the included angle in the SAS similarity criterion?

Back

The included angle must be equal for the triangles to be considered similar under the SAS criterion.

Front

What is the first step in determining if two triangles are similar?

Back

Identify corresponding angles and sides.

Front

Can two triangles be similar if only one angle is known to be equal?

Back

No, at least two angles must be known to apply the AA similarity postulate.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the importance of triangle similarity in geometry?

Back

It allows for the comparison of shapes and the solving of problems involving indirect measurements.